Question

find the slope of the line passing through the points (3,4) and (8 -3)

Answer 1

Answer

Slope = -(7/5)

Explanation

For a straight line, the slope of the line can be obtained when the coordinates of two points on the line are known. If the coordinates are (x₁, y₁) and (x₂, y₂), the slope is given as

$Slope=m=\frac{Change\text{ in y}}{Change\text{ in x}}=\frac{y_2-y_1}{x_2-x_1}$

For this question,

(x₁, y₁) and (x₂, y₂) are (3, 4) and (8, -3)

x₁ = 3

y₁ = 4

x₂ = 8

y₂ = -3

$\text{Slope = }\frac{-3-4}{8-3}=\frac{-7}{5}$

Hope this Helps!!!